{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from tqdm import tqdm\n",
    "\n",
    "NUM_LOC = 7\n",
    "VALUES = np.zeros(NUM_LOC)\n",
    "VALUES[1:NUM_LOC - 1] = 0.5\n",
    "VALUES[-1] = 1\n",
    "\n",
    "TRUE_VALUE = np.zeros(NUM_LOC)\n",
    "TRUE_VALUE[1:NUM_LOC - 1] = np.arange(1, NUM_LOC - 1) / (NUM_LOC - 1.0)\n",
    "TRUE_VALUE[-1] = 1\n",
    "\n",
    "ACTION_LEFT = 0\n",
    "ACTION_RIGHT = 1\n",
    "\n",
    "def temporal_difference(values, alpha=0.1, batch=False):\n",
    "    state = 3\n",
    "    trajectory = [state]\n",
    "    rewards = [0]\n",
    "    while True:\n",
    "        old_state = state\n",
    "        if np.random.binomial(1, 0.5) == ACTION_LEFT:\n",
    "            state -= 1\n",
    "        else:\n",
    "            state += 1\n",
    "        # Assume all rewards are 0\n",
    "        reward = 0\n",
    "        trajectory.append(state)\n",
    "        # TD update\n",
    "        if not batch:\n",
    "            values[old_state] += alpha * (reward + values[state] - values[old_state])\n",
    "        if state == NUM_LOC - 1 or state == 0:\n",
    "            break\n",
    "        rewards.append(reward)\n",
    "    return trajectory, rewards"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "def monte_carlo(values, alpha=0.1, batch=False):\n",
    "    state = 3\n",
    "    trajectory = [state]\n",
    "    while True:\n",
    "        if np.random.binomial(1, 0.5) == ACTION_LEFT:\n",
    "            state -= 1\n",
    "        else:\n",
    "            state += 1\n",
    "        trajectory.append(state)\n",
    "        if state == NUM_LOC - 1:\n",
    "            returns = 1.0\n",
    "            break\n",
    "        elif state == 0:\n",
    "            returns = 0.0\n",
    "            break\n",
    "    if not batch:\n",
    "        for state_ in trajectory:\n",
    "            values[state_] += alpha * (returns - values[state_])\n",
    "    return trajectory, [returns] * (len(trajectory) - 1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "\n",
    "# Example 6.2 left\n",
    "def compute_state_value():\n",
    "    episodes = [0, 1, 10, 100]\n",
    "    current_values = np.copy(VALUES)\n",
    "    plt.figure(1)\n",
    "    for i in range(episodes[-1] + 1):\n",
    "        if i in episodes:\n",
    "            plt.plot((\"A\", \"B\", \"C\", \"D\", \"E\"), current_values[1:6], label=str(i) + ' episodes')\n",
    "        temporal_difference(current_values)\n",
    "    plt.plot((\"A\", \"B\", \"C\", \"D\", \"E\"), TRUE_VALUE[1:6], label='true values')\n",
    "    plt.xlabel('State')\n",
    "    plt.ylabel('Estimated Value')\n",
    "    plt.legend()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "compute_state_value()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Example 6.2 right\n",
    "def rms_error():\n",
    "    # Same alpha value can appear in both arrays\n",
    "    td_alphas = [0.15, 0.1, 0.05]\n",
    "    mc_alphas = [0.01, 0.02, 0.03, 0.04]\n",
    "    episodes = 100 + 1\n",
    "    runs = 100\n",
    "    for i, alpha in enumerate(td_alphas + mc_alphas):\n",
    "        total_errors = np.zeros(episodes)\n",
    "        if i < len(td_alphas):\n",
    "            method = 'TD'\n",
    "            linestyle = 'solid'\n",
    "        else:\n",
    "            method = 'MC'\n",
    "            linestyle = 'dashdot'\n",
    "        for r in tqdm(range(runs)):\n",
    "            errors = []\n",
    "            current_values = np.copy(VALUES)\n",
    "            for i in range(0, episodes):\n",
    "                errors.append(np.sqrt(np.sum(np.power(TRUE_VALUE - current_values, 2)) / 5.0))\n",
    "                if method == 'TD':\n",
    "                    temporal_difference(current_values, alpha=alpha)\n",
    "                else:\n",
    "                    monte_carlo(current_values, alpha=alpha)\n",
    "            total_errors += np.asarray(errors)\n",
    "        total_errors /= runs\n",
    "        plt.plot(total_errors, linestyle=linestyle, label=method + ', $\\\\alpha$ = %.02f' % (alpha))\n",
    "    plt.xlabel('Walks/Episodes')\n",
    "    plt.ylabel('Empirical RMS error, averaged over states')\n",
    "    plt.legend()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 100/100 [00:00<00:00, 393.50it/s]\n",
      "100%|██████████| 100/100 [00:00<00:00, 465.59it/s]\n",
      "100%|██████████| 100/100 [00:00<00:00, 472.52it/s]\n",
      "100%|██████████| 100/100 [00:00<00:00, 489.67it/s]\n",
      "100%|██████████| 100/100 [00:00<00:00, 510.22it/s]\n",
      "100%|██████████| 100/100 [00:00<00:00, 517.27it/s]\n",
      "100%|██████████| 100/100 [00:00<00:00, 509.88it/s]\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "rms_error()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "def batch_updating(method, episodes, alpha=0.001):\n",
    "    runs = 100\n",
    "    total_errors = np.zeros(episodes)\n",
    "    for r in tqdm(range(0, runs)):\n",
    "        current_values = np.copy(VALUES)\n",
    "        current_values[1:NUM_LOC - 1] = -1\n",
    "        errors = []\n",
    "        trajectories = []\n",
    "        rewards = []\n",
    "        for ep in range(episodes):\n",
    "            if method == 'TD':\n",
    "                trajectory_, rewards_ = temporal_difference(current_values, alpha, batch=True)\n",
    "            else:\n",
    "                trajectory_, rewards_ = monte_carlo(current_values, alpha=alpha, batch=True)\n",
    "            trajectories.append(trajectory_)\n",
    "            rewards.append(rewards_)\n",
    "            while True:\n",
    "                updates = np.zeros(NUM_LOC)\n",
    "                for trajectory_, rewards_ in zip(trajectories, rewards):\n",
    "                    for i in range(0, len(trajectory_) - 1):\n",
    "                        # print(trajectory_, rewards_)\n",
    "                        if method == 'TD':\n",
    "                            updates[trajectory_[i]] += rewards_[i] + current_values[trajectory_[i + 1]] - current_values[trajectory_[i]]\n",
    "                        else:\n",
    "                            updates[trajectory_[i]] += rewards_[i] - current_values[trajectory_[i]]\n",
    "\n",
    "                updates *= alpha\n",
    "                if np.sum(np.abs(updates)) < 1e-3:\n",
    "                    break\n",
    "                current_values += updates\n",
    "            errors.append(np.sqrt(np.sum(np.power(current_values - TRUE_VALUE, 2)) / 5.0))\n",
    "        total_errors += np.array(errors)\n",
    "    total_errors /= runs\n",
    "    return total_errors"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "  0%|          | 0/100 [00:00<?, ?it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 100/100 [00:34<00:00,  2.92it/s]\n",
      "100%|██████████| 100/100 [00:27<00:00,  3.64it/s]\n"
     ]
    },
    {
     "data": {
      "image/png": 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ERKT+OnDg+NCTTz75hCeffJItW7Y4twUFBXH48GEAfvzxR9q3b09+fj7r1q3j1Vdf5bzzzmPOnDkMGDCgxmuvKoWmahZ4LDTlFZVC2LHQlKXQJCIi9UtMTIzzeWhoKBaLpdw2wBmaIiIinO+1aNGCK6+8kgEDBjB27Fh27NhR41MJVJVCUzULLuueKyo9YdFehSYREak6wzAoKLF75Nr+3rZqv2PNarVy//33c9VVV7Fy5Up69OhRrdc7UwpN1czZPVd4YmjSmCYREam6ghI75z75vUeuvfGZgQT4VH9caNu2LQC7d++utaFJA8GrWVloytWYJhERkZMyDAOo3fNTqaWpmpW7e66spSn32ASXXj4erExEROoKf28bG58Z6LFr14RNmzYBkJiYWCPXOxMKTdUs2NcbONbSFBgJNh+wF0NuGoTFe7g6ERGpCywWS410kXmKw+HgtddeIzExkS5duni6nJOqv99ALRHib/6KswtKwGIxu+iO7jbHNSk0iYhIA3TkyBHS0tLIz89n/fr1TJkyhWXLlvHf//631t45BwpN1S7M3+yCyyu2U1zqwCekqRmaslI9W5iIiIiHJCcnA+biu82bN6d///68/fbbtGrVysOVnZpCUzUL9vPCYgHDgKyCEhrrDjoREannbrrpJm666aYK2xMSEpwDvusi3T1XzaxWCyF+5rimrILiE+6gU2gSERGpSxSaakBYgBmaMvNLTpirSd1zIiIidYlCUw0I8z8hNIWqe05ERKQuUmiqAaEB5mDwzIISdc+JiIjUUQpNNeB4S1Px8e65nDSwl3iwKhEREXGFQlMNKBvTlFVQAgGRYPUGDDM4iYiISJ2g0FQDyo1pslrVRSciIlIHKTTVgHJjmuCEO+i0cK+IiEhdodBUA8qNaYITWpoUmkREROoKhaYaUG5ME2jaARERkTpIoakGlJvcEtQ9JyIi9dJNN92ExWLhjjvuqPDe3XffjcViKbe8SlpaGvfeey8tWrTA19eXuLg4rrzySubPn1+DVVedQlMNCD22aG+F7rkshSYREalf4uLimDVrFgUFBc5thYWFzJw5k/j4eOe23bt307VrV3766Sf+8Y9/sG7dOubOnUv//v25++67PVH6aWnB3hpQ1tKUXViK3WFgCzv2P5qMHeZKvhaLB6sTERFxn/PPP58dO3bw5ZdfMnLkSAC+/PJL4uPjSUxMdO531113YbFYWLZsGYGBgc7t7du35+abb67xuqtCLU01IPTYQHCA7IISaNwOvPyg4Cgc2eHBykREpE4wDCjO88zDMFwu9+abb+a9995zvn733XcZM2aM83VGRgZz587l7rvvLheYyoSFhZ3Rr6m6qaWpBnjbrAT5epFbVEpmQQnhgYEQ2wVSlkDqMohs5ekSRUSkNivJhxdiPXPtx/aDT8Vgcyo33ngj48ePZ8+ePQAsXryYWbNmsXDhQgC2b9+OYRi0bdvW3dVWK4WmGhLq722GpvxiIBCadTND095l0PkGT5cnIiLiNo0bN2bw4MHMmDEDwzAYPHgwkZGRzveNM2i9qg0UmmpIWIA3+zILjk9w2ayH+TN1heeKEhGRusE7wGzx8dS1z8DNN9/MPffcA8Abb7xR7r3WrVtjsVjYvHnzWZdXkxSaaohzrqayaQfijoWm9A1QlAO+wR6qTEREaj2LxeUuMk8bNGgQxcXFWCwWBg4cWO69Ro0aMXDgQN544w3uu+++CuOaMjMza+W4Jg0EryFhf552IDgGQuPBcMC+VR6sTERExP1sNhubNm1i48aN2Gy2Cu+/8cYb2O12evTowRdffMG2bdvYtGkTr732Gr169fJAxaen0FRDQssmuCzrngNzXBOYg8FFRETqmZCQEEJCQip9r0WLFqxatYr+/fvzt7/9jQ4dOnDJJZcwf/583nzzzRqutGrUPVdDjq8/d0JoiusBG77UuCYREakXZsyYccr3Z8+eXe51kyZNmDp1KlOnTq2+otxILU01pML6c3DCYPDlZzQPhoiIiNQchaYaUjamqVxoiukINl/IPwIZOz1UmYiIiFSFQlMNcY5pKhsIDuDlA7Gdzed7Na5JRESkNlNoqiHOMU0ntjQBNOtu/kxdXsMViYiIiCsUmmpIWMCx7rn8P4WmsvmadAediIicoK7Oml3dPPl7UWiqIWEnTDlQ7gsva2k6uAGKcj1QmYiI1Cbe3ubfi/z8fA9XUjuV/V7Kfk81SVMO1JDQY91zdodBblEpwX7HvuyQWAhpBtmpsH8VJF7kwSpFRMTTbDYbYWFhpKenAxAQEIDFYvFwVZ5nGAb5+fmkp6cTFhZW6YSZ1U2hqYb4edvw87ZSWOIgM7/keGgCiOsOG1LNcU0KTSIiDV5MTAyAMzjJcWFhYc7fT01TaKpBYf4+pJUUklVQQtyJbzTrARu+gr0aDC4iImCxWGjSpAlRUVGUlJSc/oAGwtvb2yMtTGUUmmpQWIA3admF5WcFhxPuoFtmTnKpZlgREcHsqvNkSJDyNBC8BoU6px0oLv9Gk05g89EklyIiIrWYQlMNct5B9+eWJi9faNLZfK516ERERGolhaYaVOlSKmVO7KITERGRWkehqQaFVbaUSpm4Y6Fp79IarEhERESqSqGpBoWerHsOIK6n+fPgBijMqsGqREREpCoUmmpQWfdchfXnAEKaQKMWYDi0eK+IiEgtpNBUg8q65yqsP1emeW/z557FNVSRiIiIVJVCUw0KO9mUA2WaX2D+3PNbDVUkIiIiVaXQVINOOaYJjrc07VsFxVqoUUREpDZRaKpBYQHHxzQZhlHJDs0hpCk4SmCf5msSERGpTRSaalBZ91xxqYPCEkfFHSyWE8Y1qYtORESkNlFoqkEBPja8bea6cicf16TB4CIiIrWRQlMNslgshJZNO3DScU3HBoPvXQ6lJwlWIiIiUuMUmmrYSdefKxN5DgREQGkBHFhdc4WJiIjIKdWK0PTGG2+QkJCAn58fSUlJLFt28skdp0+fTp8+fQgPDyc8PJzk5OQK+xuGwZNPPkmTJk3w9/cnOTmZbdu2VffHqJKycU1ZJ+ueKzeuSV10IiIitYXHQ9Mnn3zCuHHjeOqpp1i1ahXnnXceAwcOJD09vdL9Fy5cyIgRI1iwYAFLliwhLi6OSy+9lH379jn3eemll3jttdeYNm0aS5cuJTAwkIEDB1JYWFhTH+ukQv1P09IEmq9JRESkFvJ4aJo8eTK33norY8aM4dxzz2XatGkEBATw7rvvVrr/xx9/zF133UXnzp1p27Yt77zzDg6Hg/nz5wNmK9OUKVN4/PHHGTp0KJ06deKDDz5g//79zJ49uwY/WeWcczVVtpRKmbKWppTfwWGvgapERETkdDwamoqLi1m5ciXJycnObVarleTkZJYsWVKlc+Tn51NSUkKjRo0A2LVrF2lpaeXOGRoaSlJS0knPWVRURHZ2drlHdQk73UBwgOgO4BsCRdlwcH211SIiIiJV53JoWrVqFevWrXO+/vrrrxk2bBiPPfYYxcWu3e11+PBh7HY70dHR5bZHR0eTlpZWpXM88sgjxMbGOkNS2XGunHPixImEhoY6H3FxcS59Dlc415872ZgmAKsN4nuaz9VFJyIiUiu4HJpuv/12tm7dCsDOnTu5/vrrCQgI4LPPPuPhhx92e4GnMmnSJGbNmsVXX32Fn5/fGZ9n/PjxZGVlOR979+51Y5XlnfbuuTIaDC4iIlKruByatm7dSufOnQH47LPPuOiii5g5cyYzZszgiy++cOlckZGR2Gw2Dh48WG77wYMHiYmJOeWxL7/8MpMmTeKHH36gU6dOzu1lx7lyTl9fX0JCQso9qkuVBoJD+cHglS25IiIiIjXK5dBkGAYOh7kEyI8//sjll18OQFxcHIcPH3bpXD4+PnTt2tU5iBtwDuru1avXSY976aWXePbZZ5k7dy7dunUr915iYiIxMTHlzpmdnc3SpUtPec6acuL6c6fUpDN4+UP+ETi8tfoLExERkVNyOTR169aN5557jg8//JBFixYxePBgwByA/edxRFUxbtw4pk+fzvvvv8+mTZu48847ycvLY8yYMQCMGjWK8ePHO/d/8cUXeeKJJ3j33XdJSEggLS2NtLQ0cnNzAXPW7QceeIDnnnuOb775hnXr1jFq1ChiY2MZNmyYy/W5m3OepvzTjP/y8oG47uZzddGJiIh4nJerB0yZMoWRI0cye/Zs/v73v9OqVSsAPv/8c3r37u1yAcOHD+fQoUM8+eSTpKWl0blzZ+bOnesMYCkpKVitx7Pdm2++SXFxMddee2258zz11FM8/fTTADz88MPk5eVx2223kZmZyYUXXsjcuXPPatyTu4RVZcqBMs0vgF0/w+7F0O3maq5MRERETsViGO4ZMFNYWIjNZsPb29sdp/Oo7OxsQkNDycrKcvv4pqz8Es575gcAtjw3CF8v28l33vUzvH8lBMXA3zabs4WLiIhIparz7zec4TxNmZmZvPPOO4wfP56MjAwANm7ceNJZvOW4YD8vZ/bJOl1rU7Me4OUHuWlwuHYsAyMiItJQuRya1q5dS+vWrXnxxRd5+eWXyczMBODLL78sN/ZIKme1Wpx30GWd7g46bz+ISzKf71pUzZWJiIjIqbgcmsaNG8eYMWPYtm1buTFCl19+OT///LNbi6uvygaDV2lcU+JF5k+FJhEREY9yOTQtX76c22+/vcL2pk2bVnkW74YuNKAKS6mUSexr/tz1i9ahExER8SCXQ5Ovr2+la7Nt3bqVxo0bu6Wo+s7Z0nS6aQcAYruATzAUZkLautPuLiIiItXD5dA0ZMgQnnnmGUpKzFYSi8VCSkoKjzzyCNdcc43bC6yPjq8/V4WWJpsXJBybHXyXuj9FREQ8xeXQ9Morr5Cbm0tUVBQFBQX07duXVq1aERwczPPPP18dNdY7YVVdSqWMs4tO45pEREQ8xeXJLUNDQ5k3bx6LFy9mzZo15Obmcv7555OcnFwd9dVLzjFNBVXonoPjg8H3LIHSYnO2cBEREalRLoemDz74gOHDh3PBBRdwwQUXOLcXFxcza9YsRo0a5dYC6yOXW5qizoWACHMdun0robnn19ATERFpaFzunhszZgxZWVkVtufk5DjXi5NTc2lME4DVesLUAxrXJCIi4gkuhybDMLBUspxHamoqoaGhbimqvnOuP1fVliZQaBIREfGwKnfPdenSBYvFgsViYcCAAXh5HT/Ubreza9cuBg0aVC1F1jdhx8Y0ZeRVcUwTHB8MnroMivPBJ6AaKhMREZGTqXJoGjZsGACrV69m4MCBBAUFOd/z8fEhISFBUw5UUbMwfwAOZBVQYnfgbatCg1+jFhDSDLJTYe/v0PLiaq5SRERETlTl0PTUU08BkJCQwPDhw8stoSKuaRzsi6+XlaJSB/szC2geEXj6gywWs4tuzUzYuUihSUREpIa5PKZp9OjRCkxnyWKxEN/I7F5Lyciv+oEtyuZr0rgmERGRmuZyaLLb7bz88sv06NGDmJgYGjVqVO4hVRN3JqGpbDD4gdVQkOn2mkREROTkXA5NEyZMYPLkyQwfPpysrCzGjRvH1VdfjdVq5emnn66GEuunM2ppComFiNZgOGDP4mqqTERERCrjcmj6+OOPmT59On/729/w8vJixIgRvPPOOzz55JP8/vvv1VFjvVTW0pSaUeDagWWtTTu1pIqIiEhNcjk0paWl0bFjRwCCgoKcE11eccUV/Pe//3VvdfXYGbU0AbTsb/7c8CWUuBi4RERE5Iy5HJqaNWvGgQMHAGjZsiU//PADAMuXL8fX19e91dVjZxyazhkEofGQdwj++KgaKhMREZHKuByarrrqKubPnw/AvffeyxNPPEHr1q0ZNWoUN998s9sLrK/iGplzNWUVlJDlyszgNm+44D7z+W+vgd2FY0VEROSMubxg76RJk5zPhw8fTvPmzfntt99o3bo1V155pVuLq88CfLyIDPLlcG4Re4/mExrgwhI0XW6ERS9CZgqs/wLOu776ChURERHgDFqafv75Z0pLS52ve/bsybhx47jsssv4+WfNH+SK+GOtTS530Xn7Q887zee//hMcDjdXJiIiIn/mcmjq378/GRkZFbZnZWXRv39/txTVUJzxuCaA7reAbwgc2gxbv3NzZSIiIvJnLocmwzCwWCwVth85coTAwCosByJOZxWa/ELN4ATwyytgGG6sTERERP6symOarr76asBcAuSmm24qd6ec3W5n7dq19O7d2/0V1mNlczXtPZPQBNDzLvj9X7Bvpbm0StkyKyIiIuJ2VQ5NoaHmQGXDMAgODsbf39/5no+PDz179uTWW291f4X12Fm1NAEENYYuf4Xl0+HXyQpNIiIi1ajKoem9994DICEhgYceekhdcW4QH2GGpn1HCyi1O/Cyudxbak4/sPI92LnQbHFq2tW9RYqIiAhwBmOaHn744XJjmvbs2cOUKVOck1xK1UUH++Fjs1LqMDiQVXhmJwmLh47Xmc+X/Mt9xYmIiEg5LoemoUOH8sEHHwCQmZlJjx49eOWVVxg6dChvvvmm2wusz6xWC83CzW7OMx7XBNBtrPlz2zxNdikiIlJNXA5Nq1atok+fPgB8/vnnxMTEsGfPHj744ANee+01txdY38Wd7bgmgKbnQ0AEFGXB3mVuqkxERERO5HJoys/PJzg4GIAffviBq6++GqvVSs+ePdmzZ4/bC6zvygaD7z16FqHJaoNWyebzbeomFRERqQ4uh6ZWrVoxe/Zs9u7dy/fff8+ll14KQHp6OiEhIW4vsL47fgddwdmdqLX5PbBt3llWJCIiIpVxOTQ9+eSTPPTQQyQkJJCUlESvXr0As9WpS5cubi+wvnNL9xxAy4vBYoX0DZC51w2ViYiIyIlcDk3XXnstKSkprFixgrlz5zq3DxgwgH/+859uLa4hiD/bCS7LBDSCZt3N59vV2iQiIuJuZzAxEMTExNClSxes1uOH9+jRg7Zt27qtsIYi7tiivRl5xeQUnuWdb+qiExERqTZnFJrEfYL9vGkU6APAXneNa9q5EEqLzu5cIiIiUo5CUy3gtnFNMR0hKAZK8mHPYjdUJiIiImUUmmoBt41rslig9SXmc3XRiYiIuJVLoamkpISbb76ZXbt2VVc9DVL8sXFNZ93SBCeMa9J8TSIiIu7kUmjy9vbmiy++qK5aGqy4cDd1zwG06AdWLziyHY7sOPvziYiICHAG3XPDhg1j9uzZ1VBKw+W27jkAvxCIN+fOUhediIiI+3i5ekDr1q155plnWLx4MV27diUwMLDc+/fdd5/bimsoygaCpx4twO4wsFktZ3fC1pfC7l/MLrqed7ihQhEREbEYhmG4ckBiYuLJT2axsHPnzrMuytOys7MJDQ0lKyurRpaGKbU7aPvEXEodBr89ejGxYf5nd8L0zfCvJLD5wiO7wCfw9MeIiIjUcdX999vlliYNAnc/L5uVpuH+7DmST0pG/tmHpsZtIDQeslJg1y/QZpB7ChUREWnAznjKgeLiYrZs2UJpaak762mw3Dqu6cSpB7bOPfW+IiIiUiUuh6b8/HzGjh1LQEAA7du3JyUlBYB7772XSZMmub3AhiLOnaEJoM3l5s9Nc8CuYCsiInK2XA5N48ePZ82aNSxcuBA/Pz/n9uTkZD755BO3FteQxLtrVvAyLfqCfyPIPwy7f3bPOUVERBowl0PT7NmzmTp1KhdeeCEWy/G7vNq3b8+OHZoX6EyVhabdR9wUmmzecO5Q8/l6za0lIiJytlwOTYcOHSIqKqrC9ry8vHIhSlzTJiYYgI0HsikssbvnpB2uMX9umqMFfEVERM6Sy6GpW7du/Pe//3W+LgtK77zzDr169XJfZQ1Mi8hAGgf7Ulzq4I+UTPectHlvcwHfwizY8ZN7zikiItJAuTzlwAsvvMBll13Gxo0bKS0t5dVXX2Xjxo389ttvLFq0qDpqbBAsFgu9WkTwzZr9LNl5hF4tI87+pFYbdLgafv+X2UXX5rKzP6eIiEgD5XJL04UXXsjq1aspLS2lY8eO/PDDD0RFRbFkyRK6du1aHTU2GD1bmEHp9x1H3HfSsi66zf+DYjeNlxIREWmAXG5pAmjZsiXTp093dy0NXlnr0uq9mRQU2/H3sZ39SZt2hbB4yEyBbd9D+6vO/pwiIiINkMstTcnJycyYMYPs7OzqqKdBS4gIICbEj2K7g1UpR91zUovleGuT7qITERE5Yy6Hpvbt2zN+/HhiYmK47rrr+PrrrykpKamO2hoci8XibG1aUh1ddFt/gEKFXRERkTPhcmh69dVX2bdvH7NnzyYwMJBRo0YRHR3NbbfdpoHgbtDr2LimJTvdGJqiO0DkOWAvgi3/c995RUREGpAzWnvOarVy6aWXMmPGDA4ePMhbb73FsmXLuPjii91dX4NT1tK0Zm8meUVuWv5EXXQiIiJn7YwX7AVIS0tj2rRpvPjii6xdu5bu3bu7q64GK65RAE3D/Cl1GKzY46ZxTQDtrzZ/7vgJ8jPcd14REZEGwuXQlJ2dzXvvvccll1xCXFwcb775JkOGDGHbtm38/vvv1VFjg1Mt45oanwMxHcFRChu+dN95RUREGgiXpxyIjo4mPDyc4cOHM3HiRLp161YddTVoPVtE8PnKVPeOawLo+BdIWwc/ToC4nhDTwb3nFxERqcdcDk3ffPMNAwYMwGo9q549OYWylqb1+7LIKSwh2M/bPSfucRtsnQt7FsPH18LYeRAW555zi4iI1HMuJ59LLrkEq9XKoUOH+PXXX/n11185dOhQddTWYDUN8ye+UQB2h8GK3W4c1+TtB9d/DI3bQc4BMzgVuPH8IiIi9ZjLoSk/P5+bb76ZJk2acNFFF3HRRRcRGxvL2LFjyc93fZmON954g4SEBPz8/EhKSmLZsmUn3XfDhg1cc801JCQkYLFYmDJlSoV9nn76aSwWS7lH27ZtXa7L06pl6gEA/3C48XMIbgKHNsOskVBS6N5riIiI1EMuh6YHH3yQRYsWMWfOHDIzM8nMzOTrr79m0aJF/O1vf3PpXJ988gnjxo3jqaeeYtWqVZx33nkMHDiQ9PT0SvfPz8+nRYsWTJo0iZiYmJOet3379hw4cMD5+PXXX12qqzaolsHgZUKbwcjPwTfE7KqbfQc4HO6/joiISD3icmj64osv+Pe//81ll11GSEgIISEhXH755UyfPp3PP//cpXNNnjyZW2+9lTFjxnDuuecybdo0AgICePfddyvdv3v37vzjH//g+uuvx9fX96Tn9fLyIiYmxvmIjIx0qa7aoCw0bdifRVZBNcy4HtMBhn8EVm/Y8BUsetH91xAREalHzqh7Ljo6usL2qKgol7rniouLWblyJcnJyceLsVpJTk5myZIlrpZVzrZt24iNjaVFixaMHDmSlJSUU+5fVFREdnZ2uYenRYf40SIyEIcBy3ZV07xKLfrCkNfN5z//Aw6sqZ7riIiI1AMuh6ZevXrx1FNPUVh4fBxMQUEBEyZMoFevXlU+z+HDh7Hb7RUCWHR0NGlpaa6W5ZSUlMSMGTOYO3cub775Jrt27aJPnz7k5OSc9JiJEycSGhrqfMTF1Y47ynpWZxddmc4joN0QMOzw9d1g1zqCIiIilTmjtecWL15Ms2bNGDBgAAMGDCAuLo7ffvuNV199tTpqdMlll13GddddR6dOnRg4cCD/+9//yMzM5NNPPz3pMePHjycrK8v52Lt3bw1WfHJlg8F/3V7NdycOfsUcIJ62Dn79Z/VeS0REpI5yeZ6mDh06sG3bNj7++GM2b94MwIgRIxg5ciT+/v5VPk9kZCQ2m42DBw+W237w4MFTDvJ2VVhYGOeccw7bt28/6T6+vr6nHCPlKRe1boyX1cLWg7nsPpxHQmRg9VwoKAouewm+vBUWvQRtr4Doc6vnWiIiInXUGc1QGRAQwK233sorr7zCK6+8wi233OJSYALw8fGha9euzJ8/37nN4XAwf/58l7r5Tic3N5cdO3bQpEkTt52zpoQGeNPzWGvT9xvOvMuySjpeB+dcBo4S+PousLtpsWAREZF6wqPTeo8bN47p06fz/vvvs2nTJu68807y8vIYM2YMAKNGjWL8+PHO/YuLi1m9ejWrV6+muLiYffv2sXr16nKtSA899BCLFi1i9+7d/Pbbb1x11VXYbDZGjBhR45/PHQa2N8d8VXtosljgin+Cbyjs/wOWvF691xMREaljPBqahg8fzssvv8yTTz5J586dWb16NXPnznUODk9JSeHAgQPO/ffv30+XLl3o0qULBw4c4OWXX6ZLly7ccsstzn1SU1MZMWIEbdq04S9/+QsRERH8/vvvNG7cuMY/nztccq7ZVbkqJZP07GqehDKkCQx6wXy+YCIc2lq91xMREalDLIZhGJ4uorbJzs4mNDSUrKwsQkJCPF0Ow95YzOq9mTw3rAM39mxevRczDPjoGtgxH1r0h79+ZbZCiYiI1HLV/fdbq+7WAZfWVBcdmAFp8Ctg84GdC2DbvOq/poiISB2g0FQHDGxvdtEt2XGkemYH/7NGiZB0u/n8h79r7iYRERGqGJrCw8Np1KhRlR7ifi0bB9EqKohSh8HCLZWvy+d2fR4C/0ZweCusnFEz1xQREanFqjRP05QpU5zPjxw5wnPPPcfAgQOdUwMsWbKE77//nieeeKJaihTzLrrt6bl8vyGNoZ2bVv8F/cOg/2Pwv4dg4URzSgL/sOq/roiISC3l8kDwa665hv79+3PPPfeU2z516lR+/PFHZs+e7c76PKK2DQQHWJuayZCpiwnwsbHqiUvw87ZV/0XtJfBmb7O1qfd9cOmz1X9NERGRM1TrBoJ///33DBo0qML2QYMG8eOPP7qlKKmoY9NQYkP9yC+28+u2wzVzUZs3XPq8+XzpNMjYVTPXFRERqYVcDk0RERF8/fXXFbZ//fXXREREuKUoqchisXDpsQHhNXIXXZnWl5hTD9iL4cena+66IiIitYzLa89NmDCBW265hYULF5KUlATA0qVLmTt3LtOnT3d7gXLcpe2jmfHbbn7cdJBSuwMvWw3c/GixwMDnYdqFsHE27FwELfpW/3VFRERqGZf/6t50000sXryYkJAQvvzyS7788ktCQkL49ddfuemmm6qhRCnTI6ERYQHeHM0vYfnuozV34ej2cP4o8/mnf4W0dTV3bRERkVrC5ZYmgKSkJD7++GN31yKn4WWzMqBtNF+sSuX7DWn0almD3aEDX4D0zbD3d/jwKhgzFyJb1dz1RUREPOyM+nd27NjB448/zg033EB6ujlv0HfffceGDRvcWpxUNKiDOa7phw1p1OgKOD6BMPJTiOkEeYfgg6GQubfmri8iIuJhLoemRYsW0bFjR5YuXcoXX3xBbm4uAGvWrOGpp55ye4FSXp/WkQT42NifVci6fVk1e3G/UHMtushzIDsVPhgCOQdrtgYREREPcTk0Pfroozz33HPMmzcPHx8f5/aLL76Y33//3a3FSUV+3jb6t4kCYO76GryLrkxgJIz6GsLiIWOn2VWXn1HzdYiIiNQwl0PTunXruOqqqypsj4qK4vDhGpo/qIEbeKyLbu76Gu6iKxMSawanoBhI3wCfjwF7ac3XISIiUoNcDk1hYWEcOHCgwvY//viDpk1rYHkPoX+bxvjYrOw8nMf29FzPFNGoBdz4BXgHws6FME9L6IiISP3mcmi6/vrreeSRR0hLS8NiseBwOFi8eDEPPfQQo0aNqo4a5U+C/by5sHUk4KEuujIxHeCqaebz3/8Ff+iOShERqb9cDk0vvPACbdu2JS4ujtzcXM4991wuuugievfuzeOPP14dNUolBh2bHXxuTc4OXplzh0DfR83n3z4AqSs8Wo6IiEh1cXnB3jIpKSmsX7+e3NxcunTpQuvWrd1dm8fUxgV7/ywjr5huz83DYcAvD/cnrlGA54pxOMxJLzd/a45zum0hhDTxXD0iItIg1boFe8vEx8dz+eWX85e//KVeBaa6olGgD0mJ5uSWNboWXWWsVrObrnE7yE2DT0ZC3hHP1iQiIuJmLs8IPm7cuEq3WywW/Pz8aNWqFUOHDqVRo0ZnXZyc2qAOMSzZeYS569O4pU8LzxbjGwwjZsLb/WHfSpjcFs4dBt3HQlySuYadiIhIHeZy91z//v1ZtWoVdrudNm3aALB161ZsNhtt27Zly5YtWCwWfv31V84999xqKbq61YXuOYADWQX0mvgTFgssHT+AqBA/T5cEe5fD/x6CA6uPb4tqD91vhi5/BS9fj5UmIiL1W63rnhs6dCjJycns37+flStXsnLlSlJTU7nkkksYMWIE+/bt46KLLuLBBx90e7FSXpNQfzrHhWEY8P3GWjIzd1x3uH0R3LoAutwIXv7mXE7//Rv8qyds/d7TFYqIiJwRl1uamjZtyrx58yq0Im3YsIFLL72Uffv2sWrVKi699NI6O9llXWlpApi2aAeTvtvMha0i+eiWJE+XU1FBJqyZBb9Ohtxjwa71QBg0ESJaerQ0ERGpX2pdS1NWVpZzkd4THTp0iOzsbMCcALO4uPjsq5PTGnhs6oElO4+QmV8Lf+f+YdDzDrhnBfS+F6xesO17s9Vp/jNQWuTpCkVERKrkjLrnbr75Zr766itSU1NJTU3lq6++YuzYsQwbNgyAZcuWcc4557i7VqlEYmQgbWOCsTsMftxUMczWGn4hcOlzcOcSaHkx2Ivhl1fg/Su16K+IiNQJLoemt956iwEDBnD99dfTvHlzmjdvzvXXX8+AAQOYNs2cHbpt27a88847bi9WKlfW2vTduorL29Q6jc+BG7+Ev3wIfqGwdylM7w/7//B0ZSIiIqd0xpNb5ubmsnPnTgBatGhBUFCQWwvzpLo0pglg28EcLvnnz3hZLSz/ezLhgT6eLqlqDm+HWSPg8Fbw8oOhb0DHaz1dlYiI1FG1bkxTmaCgIDp16kSnTp3qVWCqi1pHB9OuSQilDoPvPLkWnasiW8EtP5oDw0sL4YuxMO8pcNg9XZmIiEgFLk9uCbBixQo+/fRTUlJSKgz4/vLLL91SmLhmaOdYNh3I5ps1+7ghKd7T5VSdXyiM+A/89Cz8+k9YPAVSl8M170BIrKerExERcXK5pWnWrFn07t2bTZs28dVXX1FSUsKGDRv46aefCA0NrY4apQquPM8MGEt3ZXAgq8DD1bjIaoPkp+Gaf4NPEOxZDG9eoDmdRESkVnE5NL3wwgv885//ZM6cOfj4+PDqq6+yefNm/vKXvxAfX4daOOqZpmH+dE8IxzDg2zV1YEB4ZTpeC7f/DDGdoCADZv4Fvv87lNbCqRRERKTBcTk07dixg8GDBwPg4+NDXl4eFouFBx98kLffftvtBUrVDencFICv1+zzcCVnIaKlOc4p6Q7z9ZKp8O5ALQAsIiIe53JoCg8PJycnBzBnB1+/fj0AmZmZ5Ofnu7c6ccngjk3wslpYvy+b7em5ni7nzHn5wmUvwvUzwS8M9q+C/1wPJXWs21FEROoVl0PTRRddxLx58wC47rrruP/++7n11lsZMWIEAwYMcHuBUnWNAn3o0zoSgG/W7PdwNW7QdjCM/cEcLJ66DL68VXfWiYiIx7gcmqZOncr1118PwN///nfGjRvHwYMHueaaa/j3v//t9gLFNUOPddF9s3ofZzgFV+3SuA1c/x+w+cCmOeYYJxEREQ9wacqB0tJSvv32WwYOHAiA1Wrl0UcfrZbC5Mxccm40ft5Wdh/JZ21qFufFhXm6pLOXcAEMe9Ocx2npmxAWD73u8nRVIiLSwLjU0uTl5cUdd9xBYWFhddUjZynQ14tLzjWXVfl6dT3ooivT8VpInmA+//4x2Pi1Z+sREZEGx+XuuR49erB69epqKEXcZeixOZvmrN2P3VEPuujKXHA/dL8FMOCLW2HLd56uSEREGhCXZwS/6667GDduHHv37qVr164EBgaWe79Tp05uK07OzEXnNCbU35tDOUUs3XmE3q0iPV2Se1gscNlLkJMGm7+FWSNhyGvQ5UZPVyYiIg2Aywv2Wq0VG6csFguGYWCxWLDb6/7dTXVtwd7KjP9yHf9ZlsJ1XZvxj+vO83Q57mUvgW/ugzUzzdfJE8xWKIvFs3WJiIhHVfffb5dbmnbt2uX2IsT9rurSlP8sS+F/6w7w9JD2BPqe0TKDtZPNG4b9C4Iaw+JX4cenIO8QXPIsVBLqRURE3MHlv6TNmzevjjrEzbonhJMQEcDuI/n8d90B/tItztMluZfFApc8A4GN4YfHzZnDc9PN7jpvf09XJyIi9dAZ/bP8ww8/5IILLiA2NpY9e/YAMGXKFL7+Wnc01RYWi4XrjgWlz1bs9XA11aj3vTBsGlhssO5TeCcZDm/zdFUiIlIPuRya3nzzTcaNG8fll19OZmamcwxTWFgYU6ZMcXd9chauOb8ZVgss332UnYfq8LIqp9N5BNz4BQREwsH18FZfWPOJp6sSEZF6xuXQ9PrrrzN9+nT+/ve/Y7PZnNu7devGunXr3FqcnJ2YUD/6tYkC4LOVqR6uppq17A93/AoJfaAkD766DWbfDcV5nq5MRETqCZdD065du+jSpUuF7b6+vuTl6Q9UbfOXbs0A+GJlKqV2h4erqWYhTWDU19BvPGCB1R/B9Ivh4AZPVyYiIvWAy6EpMTGx0skt586dS7t27dxRk7jRxW2jaRToQ3pOET9vO+Tpcqqf1Qb9HoXR30BQNBzabAan5e9AfViLT0REPMbl0DRu3DjuvvtuPvnkEwzDYNmyZTz//POMHz+ehx9+uDpqlLPg42Xlqi7mIr6fLK/HA8L/LPEiuGMxtLoESgvhv3+DT/8KBUc9XZmIiNRRLk9uCfDxxx/z9NNPs2PHDgBiY2OZMGECY8eOdXuBnlAfJrc80Za0HAZO+Rkvq4XfHxtAZJCvp0uqOQ4H/P4v+PFpcJRAaBxc8w7E9/R0ZSIi4mbV/ff7jEJTmfz8fHJzc4mKinJnTR5X30ITwNCpv7ImNYvHB7fjlj4tPF1Ozdu3Cr4YCxk7weoFgydD19GerkpERNyouv9+u9w999xzzzlnBQ8ICKh3gam+Kpuz6ZPlezmLnFx3NT0fbv8Z2l8NjlKYcx/Me9JsiRIREakCl0PTZ599RqtWrejduzf/+te/OHz4cHXUJW42pHMsvl5WtqXnsiY1y9PleIZvMFz7LvR91Hy9+FX4bBQU53u2LhERqRNcDk1r1qxh7dq19OvXj5dffpnY2FgGDx7MzJkzyc/XH5/aKsTPm8s7NgHgnV92ergaD7JYoP94uHo62Hxg0xyYcTnkpHm6MhERqeXOaBmV9u3b88ILL7Bz504WLFhAQkICDzzwADExMe6uT9xo7IWJWC3w7doD/Ly1AUw/cCqd/gKjvgH/RrD/D5jWB1bOAHuppysTEZFa6qyXhA8MDMTf3x8fHx9KSkrcUZNUkw5NQxndOwGAx2evp6DY7tmCPK15L7h1PkS2gbx0mHM/TLsAtn6vOZ1ERKSCMwpNu3bt4vnnn6d9+/Z069aNP/74gwkTJpCWpi6O2u5vl7ahSagfKRn5vPaTFralUQu44xcYOBH8w83JMGf+Bd6/Evav9nR1IiJSi7g85UDPnj1Zvnw5nTp1YuTIkYwYMYKmTZtWV30eUR+nHDjRDxvSuO3DlXhZLXx734W0jal/n/GMFByFXybD0mlgLwYs0PkGuPgJc4kWERGp1WrdlAMDBgxg3bp1/PHHHzz00EP1LjA1BJe2j2Fg+2hKHQaPfbkOh0NdUYDZ0nTps3DPCuhwLWDA6o/h9a6w6CXdZSci0sCd1eSW9VV9b2kCOJBVwCWTfya3qJRnh3Xgrz2be7qk2id1BcwdD6nLzNchTeGC+yGxLzRuY96JJyIitUatnBE8NTWVb775hpSUFIqLi8u9N3nyZLcV5ykNITQBzFi8i6fnbCTY14v5f+tLVIifp0uqfQwD1n9hLsOSdcLafQER0Lw3NL8A2g2BULW4ioh4Wq0LTfPnz2fIkCG0aNGCzZs306FDB3bv3o1hGJx//vn89NNPbi+ypjWU0GR3GFz9r8WsSc3i/PgwPhybRKCvl6fLqp1KCmDFu7B1LuxdDqUFx9/zC4Ob50JUO4+VJyIitXBM0/jx43nooYdYt24dfn5+fPHFF+zdu5e+ffty3XXXub1AqT42q4WXrzuPED8vVqVkctuHKygsaeDTEJyMtz/0uhtGz4FHU2DsPBjwFESdC4WZ8NE1kJXq6SpFRKQauRyaNm3axKhRowDw8vKioKCAoKAgnnnmGV588UW3FyjVq3V0MO/f3INAHxuLtx/hnpmrKLFrPbZT8vKBuB7QZxzc9F9znqfsffDh1ZCf4enqRESkmrgcmgIDA53jmJo0acKOHTuc753JOnRvvPEGCQkJ+Pn5kZSUxLJly06674YNG7jmmmtISEjAYrEwZcqUsz6nQJf4cN4Z3R1fLys/bkpn3KdrsOuOuqoJaAR//RKCY+HwFvjP9brLTkSknnI5NPXs2ZNff/0VgMsvv5y//e1vPP/889x888307NnTpXN98sknjBs3jqeeeopVq1Zx3nnnMXDgQNLT0yvdPz8/nxYtWjBp0qSTLtni6jnF1KtlBNNu7IqX1cKcNfv5+1fr0I2VVRTazAxOfqGwdyl8PkbLsYiI1EMuDwTfuXMnubm5dOrUiby8PP72t7/x22+/0bp1ayZPnkzz5lW/dT0pKYnu3bszdepUABwOB3Fxcdx77708+uijpzy2bL27Bx54wG3nLNNQBoJX5r9rD3Dvf1bhMODOfi15ZFBbT5dUd+xZAh8Og9JCOHcoDP4nBEZ4uioRkQaj1g0Eb9GiBZ06dQLMrrpp06axdu1avvjiC5cCU3FxMStXriQ5Ofl4MVYrycnJLFmyxNWyzuqcRUVFZGdnl3s0VIM7NWHSNeb3++bCHXy6Yu9pjhCn5r3g2nfBYoWNX8Pr55t33Dk0RkxEpD446wV7z9Thw4ex2+1ER0eX2x4dHX3Ga9id6TknTpxIaGio8xEXF3dG168v/tItjnsvbgXAY1+uY8mOIx6uqA5pOxjGzIXoDuZddd8+CO8MgP1/eLoyERE5Sx4LTbXJ+PHjycrKcj727lXryoPJ5zC4UxNKHQZ3fLSSnYdyPV1S3RGfBLctgkGTwCcY9q+Ct/ubs4uXFnm6OhEROUMeC02RkZHYbDYOHjxYbvvBgwdPOsi7us7p6+tLSEhIuUdDZ7VaeOW68+gcF0ZWQQlj319BZn7x6Q8Uk80Let4J966AjtcBBvz+L3jvMshM8XR1IiJyBjwWmnx8fOjatSvz5893bnM4HMyfP59evXrVmnM2ZH7eNqaP6kbTMH92Hc7j9g9XUlyq8TkuCY6Ba96BEZ+YM4fvWwlvXQTb5nm6MhERcZFHu+fGjRvH9OnTef/999m0aRN33nkneXl5jBkzBoBRo0Yxfvx45/7FxcWsXr2a1atXU1xczL59+1i9ejXbt2+v8jnFNY2DfXn3pu4E+XqxdFcGr/ywxdMl1U1tBsHtP0NsFyg4Ch9fC/OfBYdmYBcRqSvOaMHek3nmmWfo378/ffr0qfIxU6dO5R//+AdpaWl07tyZ1157jaSkJAD69etHQkICM2bMAGD37t0kJiZWOEffvn1ZuHBhlc5ZFQ15yoGT+WFDGrd9uBKb1cLXd19Ah6ahni6pbiotgu8fg+XvmK9bXwp/+RC8tViyiMjZqnUL9p5KYmIiBw8eZMCAAcyZM8ddp61xCk2Vu3vmKv679gAdm4by1V298bLpPoIztu5z+Poec+HflhfD9TPN9e1EROSM1bp5mk5l165dHDlyhDvvvNOdp5Va4qkrzyXYz4t1+7KY8dtuT5dTt3W8Fm78HLwDYMdP8J8RWn5FRKSWcyk0lZaW8swzz5CaevLV3P39/bn88svPujCpfaKC/Xjs8nYAvPLDVvZm6I/8WUm4EG78ArwDYecCrVsnIlLLuRSavLy8+Mc//kFpqdbVaqiGd4ujR2IjCkrsPD57vdanO1vNe5vByScIdi2CmX+B4jxPVyUiIpVwuXvu4osvZtGiRdVRi9QBVquFF67qiI/NyqKth5iz9oCnS6r7mveCG780J8Lc/Qu82RuWTVerk4hILePyQPBp06YxYcIERo4cSdeuXQkMDCz3/pAhQ9xaoCdoIPjpvTZ/G5PnbSUyyId5D/YlPNDH0yXVfXuXm110+YfN1wER0P1W6HErBEZ6tjYRkTqg1t09Z7WevHHKYrFgt9f9eWcUmk6vuNTB4Nd+YVt6Li0bB/LO6O4kRgae/kA5teI8+ONjWDIVMveY27z8oPd90PdhsHl7tj4RkVqs1t0953A4TvqoD4FJqsbHy8rrN3QhJsSPHYfyGDr1V37ZdsjTZdV9PoGQdBvcuwqufc+cDLO0EH5+yVyCJWOXpysUEWmwNNGOnLG2MSF8c88FdIkPI7uwlJveW857i3dpcLg72Lygw9Vw6wK49l3wDYXU5TCtD6z9zNPViYg0SGcUmhYtWsSVV15Jq1ataNWqFUOGDOGXX35xd21SB0SF+PGfW3tyzfnNsDsMJszZyKNfrCOvSHdYuoXFAh2ugTt/hbieUJwDX94CX94Ohdmerk5EpEFxOTR99NFHJCcnExAQwH333cd9992Hv78/AwYMYObMmdVRo9Ryft42Xr6uE48PbofVAp+s2EuflxYwbdEO8osVntwiLB5u+i/0Gw8WK6ydBa92gl9egaIcT1cnItIguDwQvF27dtx22208+OCD5bZPnjyZ6dOns2nTJrcW6AkaCH7mFm09xJNfr2fPEfN2+YhAH27v24IbezYnwMfLw9XVE3uWwDf3wJFjC1X7N4IL7jPvtPMN8mxtIiIeVOvunvP19WXDhg20atWq3Pbt27fToUMHCgsL3VqgJyg0nZ1Su4Ov/tjH6z9tJ+XYrOHhAd70bBHB+fHhnN88nA5NQ/D1snm40jrMXgrrv4BFL0LGDnNbQAR0uBZaDTBnG/fR3Ywi0rBU999vl//pHxcXx/z58yuEph9//JG4uDi3FSZ1l5fNynXd4hjWpSlf/bGPqcfC03fr0/hufRoAPjYr5zcPY8KQDrSJCfZwxXWQzQvOG26Od1r3mXl3XcZOWPaW+bD5mLONt0qG826AwIizv2ZRLuz/A8ITILSZOd5KRKQBcbml6c033+SBBx7g5ptvpnfv3gAsXryYGTNm8Oqrr3L77bdXS6E1SS1N7lVid7Bqz1FWpWSyKuUof6Qc5XBuMQCBPjZev6ELF7eN9nCVdZy9FLb9ANvnwfYfITPl+HsBEXDZS2bAOpOgYy+BVe/DwhchL/34OZt0htjO0LQrtLwYvP3d8UlERM5YreueA/jqq6945ZVXnOOX2rVrx//93/8xdOhQtxfoCQpN1cswDHYfyWf8l2v5fWcGFgs8dlk7bumTiEWtF2fPMMzxTtvnm2EnfaO5/ZxBMHgyhDat+nk2zob5z5itWGCOnyrKBsefBvj7hkLHa6DLjRB7vlqhRMQjalVoKi0t5YUXXuDmm2+mWbNmbi+mtlBoqhnFpQ6e+mY9/1m2F4Drujbj+as64uOl6cPcprQYFk+BRS+Bo8Rc3+6SCeYcUH5hFcNNcT4cWA37VsL6L2H/KnN7YGPo+wicPxoMB6RvgP2rzX13LISsE1q2GreDTn+BqHZmN15os8qvJSLiZrUqNAEEBQWxfv16EhIS3F5MbaHQVHMMw+C9xbt57r8bcRjQPSGcyX/pTFyjAE+XVr+kbzbvuEtdfnybT7AZaMLiwD8cDm40W6WME2b29w4078zrdTf4nmTsmcMBu382l3/Z9I05g/mf+QRBRCuzJarzDRqkLiLVotaFpqFDh3L11VczevRotxdTWyg01byFW9K5d+Yf5BSV4udt5f4B53BLn0S8bWp1chuHHZa+Bb+9BjkHTr5fUAw062Y+Oo+EoKiqX6Mg07yrb8dPkJVqPsoWIC7jHw7dboYet0FwzBl9FBGRytS60DRt2jQmTJjAyJEj6dq1K4GB5f/FOGTIELcW6AkKTZ6x81Au479cx9JdGQCcEx3Ec8M60iOxkYcrq4eK8yF7nzlgPGsv5B2Gxm3MQd0hsdVzrR0/we//gqO7ze1Wb7MbL3kCBDV27zVFpEGqdaHJaj35v/wtFku9WLRXoclzDMPgy1X7eP5/m8jIM++w+0u3ZkwY0gF/H83rVOc57LDlf7DkDUhZYm4LbAxDpkKbQZ6tTUTqvFoXmhoChSbPy8wv5sW5m52DxHskNOLfN3Uj2M/bw5WJ2+xdDnPuO353X7excOlz4KPxbCJyZqr777dLA0ZKSkrw8vJi/fr1bi9E5ERhAT5MvLoTM29NItjXi2W7M7hh+lJn65PUA3Hd4dYF0PNu8/WKf8NbF5kTaIqI1EIuhSZvb2/i4+PrRRec1A29W0byn9t60ijQh3X7shj+1hLSsur+Uj1yjLcfDHoB/jobgpvAkW0w/WKYNRJ2/WLOFSUiUku4fGvS3//+dx577DEyMjKqox6RCjo0DeXT23sSE+LHtvRcrnvrN1KOLQgs9UTL/nDnb9D+anMeqM3fwvtXwLQ+sOpDKCnwdIUiIq6PaerSpQvbt2+npKSE5s2bV7h7btWqVW4t0BM0pql22puRz43/XsqeI/lEBfvy8S1JtI7WunX1TvpmWDoN1syC0mNhKSAS+vzNnKrA28+z9YlIrVXrBoJPmDDhlO8/9dRTZ1VQbaDQVHulZxfy138vY8vBHBoF+vDh2B60jw31dFlSHfIz4I8PYdl0c1oEgJBm0O9ROG+EuWixiMgJal1oaggUmmq3o3nF/PXdpazfl02InxcfjE2ic1yYp8uS6mIvgdUfmwsG5+w3t0WeAz3vOr5Ei3/YsZ/hClMiDVitDE2ZmZl8/vnn7Nixg//7v/+jUaNGrFq1iujoaJo2reJioLWYQlPtl1VQwpj3lrEqJZMgXy/eG9Od7gmaBLNeKykwW51+nQwFRyvfx+ZjBqrGbc2176LaQUwnc6mYythLzSVgNs0BLHDuEGh+oYKXSB1V60LT2rVrSU5OJjQ0lN27d7NlyxZatGjB448/TkpKCh988IHbi6xpCk11Q15RKWPfX87vOzPw97bx79Hd6N0q0tNlSXUrzILfp8GexVCYaQaogiwoyjr5MSHNIL4nNO8F8b3M5V42fAkbZldc5iWwMZw71ByUHt8LTjGhr4jULrUuNCUnJ3P++efz0ksvERwczJo1a2jRogW//fYbN9xwA7t373Z7kTVNoanuKCi2c/tHK/l56yFsVgtXd2nK3f1bkRCpBWEbHHupuVxL+iZzwsxDm81FiA9tAkfpyY8LiIB2Q8y79jZ9U74VyycIIlubLVeN20BkG4jtAiFNqv/ziIjLal1oCg0NZdWqVbRs2bJcaNqzZw9t2rShsLDuz6Gj0FS3FJXaeeiztcxZY453sVpgaGczPLWKCvJwdeJxxXmQusJctmXPb5C63Fz3rt2V0OEqSOwLtmMzzdtLYOcisxVq07cnb72KPAda9DOPTbjQHFMlIh5X60JTVFQU33//PV26dCkXmubNm8fNN9/M3r173V5kTVNoqptWpRxl6k/b+WlzOgAWC1zWIYaRSc3p1SICq9Xi4QqlVnDYAcvpu93sJZCxEw5tMR+HtxxvxTIcx/ezWM1xU3FJEJ8EcT0htO6P7RSpi2pdaLrllls4cuQIn376KY0aNWLt2rXYbDaGDRvGRRddxJQpU9xeZE1TaKrb1qVm8fpP2/hh40HntvhGAQzvHsd1XZsRFaJ5fuQsFByF3b/CzoVmq9SRbRX3CY2DZt0hrgc06wExHcHLp8ZLFWloal1oysrK4tprr2XFihXk5OQQGxtLWloavXr14n//+1+FyS7rIoWm+mFzWjYf/b6Hr//YT06ROabFZrWQ3C6Key9uTYemmt9J3CBrn9n1t3cppPwOB9eXb4kCsPlCbGeIaAWBkRAYZQ44D2oM0R3NnyJy1mpdaCqzePFi1qxZQ25uLueffz7Jycnurs1jFJrql4JiO/9dd4BZy1JYsef4IN8BbaO4P7k1nZqFea44qX+KcmHfCti7HFKXmWOoTjZFQpnojtCir7mcTHxv8AmomVpF6plaG5rqM4Wm+mvrwRz+tWA736zZj+PY//L7t2nMPRe35vz4MCwWjXsSNzMMOLID9q2E7FTIOwx5hyA3HXIOwOGt5fe3+Zhdei36QuJF0LTr8YHqInJKCk0eoNBU/+08lMvUn7Yze/U+Z3jq2DSUv/ZszpXnxeLvY/NsgdJw5B6CXYuOjZFaeHzJmDLegeb8Um0ug3OHmd17IlIphSYPUGhqOHYdzuNfC7bz9er9FNvNcSih/t5c17UZN/ZsrvmepGYZhnnH3q5F5iDz3b9A/pHj71ts5lQHHa+FtoPBT+PyRE6k0OQBCk0Nz5HcIj5dkcrHS/eQerTAub1P60hu6BFP8rnReNs0M7TUMIfDnOJg+4+w4Ss4sPr4ezYfaNoNmnU179Rr2k1THUiDp9DkAQpNDZfdYbBoazofLNnDoq2HKPt/R+NgX67vHsfw7nE0C9cgXfGQw9vNiTfXfW7OG/VnwbHQZST0ukcTbkqDVGtCU2lpKXa7HV9fX+e2gwcPMm3aNPLy8hgyZAgXXnih2wv0BIUmAdibkc+s5Sl8sjyVw7lFzu29WkRwTddmXNYhhkBfLewqHmAYcGQ77D12d96+FeaSMYbdfN83FHrfA0l3gJ/+GyYNR60JTWPGjMHHx4e33noLgJycHNq3b09hYSFNmjRh48aNfP3111x++eVuL7KmKTTJiYpLHczbeJCZy/awePvx8SUBPjYu69CE67o1Iymxke68E88qzoNt82DRi2aXHoB/OPS6G/wbQe7BY490KMyG5r2h/VUQfa5n6xZxo1oTms455xymTp3KpZdeCsAbb7zBCy+8wMaNGwkNDeWRRx5h2bJlLFiwwO1F1jSFJjmZ1KP5fLVqH1+sSmX3kXzn9haNA7mhRzxXn9+MRoGa+Vk8yOEwu/AWTqp8tvI/i2xjhqdzh5jPbWo9lbqr1oSmwMBA1q9fT2JiIgBXX301zZo147XXXgNg48aN9OvXj/T0dLcXWdMUmuR0DMNgVcpRPl+Zyjer95NXbHaL+NisDOoQw/Xd4+ip9e7Ek+ylsO4zWPcpePlDUBQEx5g/LTbYOtccYG4vPn6M1QtCmkJYPIQ3h7DmEBR9/LigaHMmc1fmjbKXQPY+yEyBkgJz3ilNmyDVpNaEpoiICH755RfOPddsyo2NjeUf//gHI0eOBGDnzp106NCB/Pz8U52mTlBoElfkFpUyZ81+Zi5NYd2+LOf2ZuH+XHN+M67t2oy4Rho8LrVQYRZs+c68M2/HArAXnf4YLGaICm1mrrEX2swMUsV5UJRtdv0VZUF+hhmUsvdVXFYm8hyI72V2ETbvbYY0ETeoNaFpwIAB9OjRg4kTJ/LLL7/Qr18/UlNTadKkCQDz5s3jzjvvZPv27W4vsqYpNMmZWpeaxX+WpzBn9fH17gCSEhtxQ1I8l3dsoqkLpHZyOCA3DY7ugcw9ZuDJTDHHQJWNhcpLB0fp6c/1ZzZfMxhZrJXf9ReeaM4/1aIvJFwEgRFn/XGkYao1oWnRokVcdtllNGnShAMHDjBixAj+/e9/O9+/6667yMvL4/3333d7kTVNoUnOVmGJne83pPH5ylR+3X7YOXVBbKgfN12QwPU94gnx09IYUsc4HOZkm1l7jz1SIXOvuc03CHxDzLv1fEPMQehh8eYjMAqsx/6xkJ9hLmy8Z7G50PH+1cfv+gPAAtHtocl5ENMRYjpBTAdN5ClVUmtCE8CmTZv44YcfiImJ4brrrsNqPf4v5rfffpsePXrQuXNntxdZ0xSaxJ32Zxbw2YpUPvx9j3PqgiBfL67vHseoXgnER6jrThqwwmwzQO08tpTMoU2V7xcQYY65stjMFiur1ZxaIbK12d3X+BzzZ0Rr8Par0Y8gtUetCk0NhUKTVIfCEjvfrN7P9F92si0917m9a/NwrurSlMEdmxCuO++koctJg9QVkLbu2GNtxfX4TsXmA3FJ5mLHiX2h6fnHB647HMfHWxkOs/XKN0Qhqx6pNaHp559/rtIJL7roorMqqDZQaJLqZBgGC7ce4r3Fu/l12yHngsHeNgv92kQx5LxYLm4bpYkzRcrkZ0DOATPoOOxmd55hQN4hOLwNDm899nMLFBwtf6x3oLm8TH6G+V65rsBjbL5mt2JosxO6BDuZ3YS+QTXzGcUtak1oslqtzsn7TnaIxWLBbq/kf5B1jEKT1JSD2YXMWbOfL1ftY+OBbOd2P28r/c6J4vJOTRigACVSNYYBR3aYCx7v+tl8FGRU3M8nyOziK8qu+F45FghoZAYvn7JHgNlVGBwLIU0g+NijUQvzrkJNcutRtSY0RUREEBwczE033cRf//pXIiMrn2cjNLTuD9ZTaBJP2JKWw+zV+/jfugPsOWHiTF8vKxe0iqRfm8b0OydKY6BEqsrhgPQNZgtTQIQ5M3pAI/DyPf5+cY459UJhFmTshANrj3cN5ux37Xp+odC47fGHX4jZOuZ8GOY8WFHtjt1NqIDlbrUmNBUXF/PVV1/x7rvv8ssvv3D55ZczduxYBg0aVO+Wj1BoEk8yDIMN+7P537oD/G/dgXIzjwO0iAykb5vG9GsTRVJiI/y8bR6qVKSeyztiTrNQnFf+kXfIDFTZB8xuw7LJO/88H9Wp+ARD1LFw5RtsBirDARjmc6uXORbLy9ccp2XzMbsPGyWarVr+4dX2seuyWhOaTpSSksKMGTN4//33KSoqYvTo0UyYMAEvr/rRhaDQJLWFYRhsTsthwZZ0Fm45xMo9R7E7jv9f1s/bSq8WEfQ9xwxRCZGBHqxWpAErKTQXUT60+dhjC5QWmd2AFov50zDg6G5zDJaj5Oyu59/IDE9R7cxxWNHtzUcDD1O1MjSV2bVrF2PHjmXRokUcOnSIRo0aubM2j1Foktoqu7CExdsOs3DLIRZtPURadmG59xMiAujXJoq+bRrTq0WEWqFEaiN7iTn2Kn2jGaBKC81QxbFwBeYkovZic197sbkETdZe87jctJOfO+RYa1TZjO1hccd+xpvbyrom66laF5qKior44osvePfdd1myZAmDBw/m5ptvZtCgQW4vzlMUmqQuMAyDLQdzzAC15RDLd2dQekIrlK+XlV4tIzivWRhtY4JpExNM84hAbFoPT6RuK86DjF3mgswHN0DaevNnVsrpjw2KMYNUWPNjUzP0MbsI68kwm1oTmpYtW8Z7773HrFmzSEhIYMyYMdx44431pnXpRApNUhflFpWyePthFh7ryjuQVVhhHz9vKy0bB9Eo0IdgPy+CfL0I8vUm2M+L8ABvwgN9aHTsERHoS1SwrxYdFqkrCjLNrsGyJXCy9poztpf9LC2o/LjAxpDQx1wPMKDR8TsFvY/dLegdcOx1AHj7mwHLMMzWsNIisyXM6mUOfPewWhOarFYr8fHxjB49mq5du550vyFDhritOE9RaJK6zjAMth7MZfH2w2xOy2ZLWg5bDuZQWOLCQFXAx8tK80YBNI8IJCEigPiIAIJ8vQjw8SLAx0aAj41AXy/CA3wID/TG10vdgSK1kmGYy92UhanDW2H3r5Cy9ORhqlIWs4vPXlxx4Ht0h2NrCPYzA5gH5riqVaHptCfTPE0itZbdYZCSkc+O9FyyC0vILSolp7CU3KJSsgtKyMwvISOvmKP5xWTkmY8Tu/uqItDHRnigDyF+3hVa+71tVmLD/Gga5k+z8ACahvkTHxFA84gAhS0RTyktMmdg3/2LuQ5gce7xuwRL8o//LK3Ycn1KVi9z/cDgJmZLVlCU+dM35NhYrRMeYE7X4HyElf9pq/pNZrUmNDUkCk0iUGp3cCCrkF2H89hzJI/dR/LZd7SAvOJS8ovt5BWVUlBiJ7ewlMyCknJ39bnCZrXQvFEALaOCaBUVRKvGQSQ2DqRFZCBhAVpWRqRWcNiPhahjAapsKgQvP/N5wVFzUtGdi2DnArNFy118gsqHqrKFof1CzW5DL39zKRwvP7ILDUL73103QlNBQQH+/v7uOp3HKDSJuMbhMMgpKuVoXjEZ+cXkFJZW2KewxM7+zAJSjxaQejSffZkF7DmcT05RxX3LhAV4kxARSOuoIM5vHk7X5uG0ahykcVYitV3GLnPdwNx0yDtszneVdwiKcsxla5xzUPma3XxF2eaYrLKJRgszzVYvF2UXGYROyqndoamoqIipU6fyj3/8g7S0U9wKWUcoNInUDMMwSM8pYnt6LtsO5rD9UC470vPYfSSv0oHsACF+XmaAig/nvLgwzmsWRmiAdw1XLiLVzl56PEAVZh57nm0GrLLnxXnmmKzSIigpIDs7h9BbvvB8aCoqKuLpp59m3rx5+Pj48PDDDzNs2DDee+89/v73v2Oz2bjnnnt45JFH3F5kTVNoEvG8/OJSdh/OZ9fhPDYdyGbFngzW7M2ioKTiuMmEiADOiwujbUwITUL9iArxJTrEj+gQP4K0bp9Ig1FrxjQ98sgjvPXWWyQnJ/Pbb79x6NAhxowZw++//85jjz3Gddddh812ZoM533jjDWcr1Xnnncfrr79Ojx49Trr/Z599xhNPPMHu3btp3bo1L774Ipdffrnz/Ztuuon333+/3DEDBw5k7ty5VapHoUmkdiqxO9h8IIcVezJYvTeTNXszKywz82cBPjYaB/vSOMiXyCBfGgf7EhNaNiDdn6bh/kQF+2n+KpF6oLr/flf5n2CfffYZH3zwAUOGDGH9+vV06tSJ0tJS1qxZc1Zrz33yySeMGzeOadOmkZSUxJQpUxg4cCBbtmwhKiqqwv6//fYbI0aMYOLEiVxxxRXMnDmTYcOGsWrVKjp06ODcb9CgQbz33nvO176+9XsWVJGGwNtmpWOzUDo2O74w+NG8Ytbuy2LN3kx2HsolPaeIg9mFpGcXkVNkDlrfcyS/3CLIFc9rIdTfB2+bBW+bFS+bBR+blbAAb+KPTbkQ1yjAOWBdrVciDVOVW5p8fHzYtWsXTZs2BcDf359ly5bRsWPHsyogKSmJ7t27M3XqVAAcDgdxcXHce++9PProoxX2Hz58OHl5eXz77bfObT179qRz585MmzYNMFuaMjMzmT179hnVpJYmkfohr6iUw7lFHMo59sgtIj27iLTsQudg9AOZhS5PrdAiMpD2TUPpEBtCh6ahNA72xWyosmC1gNViOTZhqI8GrYvUoFrT0mS32/HxOX77r5eXF0FBZzdxVXFxMStXrmT8+PHObVarleTkZJYsWVLpMUuWLGHcuHHltg0cOLBCQFq4cCFRUVGEh4dz8cUX89xzzxEREVHpOYuKiigqKnK+zs7OPsNPJCK1SaCvF4G+XjSPOPlCxnaHQVp2IdkFJZTaDYrtDkrtDortDg7nFpFypIA9GXmkHMln95F8DucWsfNwHjsP5zFnzf5TXt/LaiEyyJeoELN7sFm4PwmRgSREmlMqNA3zx8t2+jnwRKR2qHJoMgyDm266ydnNVVhYyB133EFgYPn/GH355ZdVvvjhw4ex2+1ER0eX2x4dHc3mzZsrPSYtLa3S/U+8a2/QoEFcffXVJCYmsmPHDh577DEuu+wylixZUum4q4kTJzJhwoQq1y0i9YfNaqFpmD9Nw6o2Xcrh3CI27M9m/b4sNuzPYsP+bLILSjAwp14wMCdfzi0qpfRYIPvzwsplvKwWYo9du2m4v3OcVZuYYNrGhODjpUAlUptUOTSNHj263Osbb7zR7cW4y/XXX+983rFjRzp16kTLli1ZuHAhAwYMqLD/+PHjy7VeZWdnExcXVyO1ikjdEhnkS99zGtP3nMan3K/kWEtVWdfgwewiUjLy2X04j12HzWkVikodpGTkk5JRcbyVj81K2ybBdGoWSsemoQT7mdMqlA2osFigcbAvTcP8iQ7RQHaRmlDl0HTioGp3iYyMxGazcfDgwXLbDx48SExMTKXHxMTEuLQ/QIsWLYiMjGT79u2VhiZfX18NFBcRt/K2WWkS6k+T0MpbsBwOgwPZhaRmmGOr9h0tYF9mAXuP5rNhfzaZ+SWsTc1ibWrWaa/lZbXQJMyPZmEBdE8Ip2+bKDrHhSlIibiZR28B8fHxoWvXrsyfP59hw4YB5kDw+fPnc88991R6TK9evZg/fz4PPPCAc9u8efPo1avXSa+TmprKkSNHaNKkiTvLFxE5Y9ZTdAsahsHejALW7stkbWoWmw5kU1R6fHFUC+AwDA5mF7E/s4BSh7n/3owCluw8wms/bSfU35s+rSPp1yaKbs3DaR4RcFZ3OotILVh77pNPPmH06NG89dZb9OjRgylTpvDpp5+yefNmoqOjGTVqFE2bNmXixImAOeVA3759mTRpEoMHD2bWrFm88MILzikHcnNzmTBhAtdccw0xMTHs2LGDhx9+mJycHNatW1elFiXdPScidYXdYZCeU0jq0QJ2pOfyy7bD/LztUIWlbEL9vZ1dfZ2ahdEtIZzIILWwS/1Sa+6eqy7Dhw/n0KFDPPnkk6SlpdG5c2fmzp3rHOydkpKC1Xp8MGTv3r2ZOXMmjz/+OI899hitW7dm9uzZzjmabDYba9eu5f333yczM5PY2FguvfRSnn32WXXBiUi9Y7NanN2A3RMacX2PeErtDv7Ym8nCLen8uv0Im/Znk1VQwi/bDvPLtsPOY1s0DqRHQiN6JDaie0IjmoX7qzVK5BQ83tJUG6mlSUTqk+JSB1vScszuvr1ZrN6byZaDORX2C/Hzom1MiHn3XhPzDr72sSH4eZ/Zag8iNa3WLKPSkCg0iUh9l5lfzIrdR1m+O4OluzJYvy+r0kk+vW0WOjQNpVvzcLo2D+f8+HCiQvw8ULHI6Sk0eYBCk4g0NEWldnYeymNzWjab03LYfCCHDfuzOJxbXGHfmBA/OjQ1x0d1bBbCuU1CiQr21ezn4nEKTR6g0CQicvwuvpUpGazcc5QVu4+y5WAOlf3V8LJaiA7xIybUfDQJ8SM+IoC4RgHENwqgWbg/vl7q5pPqpdDkAQpNIiKVyysqZeOBbNalZrF+Xxbr9mWx41Aup1u+z2IxW6iaOWc+D6BpuD8xoX6E+nsT6u9NiJ83If5eCldyxhSaPEChSUSk6krsDg7lmAshp2WZj/2ZBc7ZzlMy8skvtlf5fIE+NnN5mfDjS8w0CfUjItCXiCAfIgJ9aRToo2VmpIJ6P+WAiIjUbd42K7Fh/sSeZP0+wzA4kldMSka+c+bzfUcLSD2az8HsIrILS8guKCGnqBTDgLxiO9vSc9mWnnvK6wb5ehHq702wnxchx1qqgv288PO24utlw9/Hhp+XDW8vCzaLBZvVgsViwWaBAB8vGgX60CjIh8hAXxoF+RDoY9OUC3JKCk0iIlKtLBYLkUG+RAb5cn58+En3czgMcotLOZxTxP7MQvZlmiErNbOAg9mFHMkt5kheMRl5xdgdBrlFpeQWlZ70fK6KCvblglaR9G4ZwQWtIk8aAqXhUvdcJdQ9JyJSezkcBtmFJWTkFZNTWEpWQcmx1qpScotKKCxxUFhiN3+W2ikpdWA3DAzDnEHdbhjkFZWSkVfMkVwzhBWUVOw+bBEZSFKLCLrEhdElPoyWjYN0h2AtpzFNHqDQJCLSsOQVlbImNZPfth/h1+2HWZuaWWFwe7CvF+fFhdEmJpi4cH/iGpl3BzYL9yfARx03tYFCkwcoNImINGxZBSUs3XmEVSmZ/JFylLWpWZW2RpUJ8vUi5NjYqrK7ARsH+xIb5k9MiB9NwvyIDfWnSZif7g6sRgpNHqDQJCIiJyq1O9h6MJc/9h5l16E89h7NZ29GAXuP5ldYHPl0ooJ9aRZuTrvQLNyfFo2DaBMdTKuoIPx9FKjOhkKTByg0iYhIVWUVmOOrsgpKjj/yi0nPKeJAViEHsgo4kFnI/qwCCkscJz2PxQLxjQJoHRXMuU2COTfWnG09rpEWUq4qTTkgIiJSi5V1x52OYRgczS8h9Wg+qcemXEjJyGd7ei5bD+aSkVfMniP57DmSz4+bDjqPC/b1ol2TEOIaBdCkbMb1UD+iQ/wID/QhxM+LIF8vBasaoJamSqilSUREatrh3CK2Hsxha1oOGw9ks/FANlvTcim2n7x1qozVAiHH5qwK9PHCz9tGgI8Nf29zvipzygcfGgebUz9EBPni62XF22bF22bB22bFy2rBwLzD0GEYOI5d1tfbip+XDT8fKz42a60OZ2ppEhERaQDK5rLq3TLSua3E7mB7ei6b07LZn2nOtn4gq5C07ALSsorIKiimxG7gMCAzv4TM/JJqrdFigUAfLyKDfIgK9qNxsK/zEeLnRfCxCUaD/bwJ9LXh533s4WXFz9uGt82KxQIWzPm7LMfOWZuD2IkUmkRERGopb5uVdk1CaNek8lYTwzAoKnWQfWwsVXZhCQXFDvKLSykosVNQbCe3qJQjecUczinicG4Rh3KLOJpXQlGpg1KHg5JSByV2g1KHA6vFYj6sYD0WZIpKHdiPzb9gGDgnFd19JN8tn9F6LIgF+noR5Gf+DPb1IsTf69h6hN6E+HkR4OOFt5cVH5sFL6sVby8rVovZMlZqN+ffysnOdktNJ6PQJCIiUkdZLBZna05UiF+1XafE7qCgxE5hiZ28IjuHcopIzykkPbuI9JwijuQWkVNYSk5Rifmz0AxWhSV2ikocp+xidBiQU1RKTlEpnGXmcRS5J8idjEKTiIiInJI59slKiJ83BENiZKBLxzscZotYsd0BBhiYM7SDGchyi0rJK7If+3k8fGUXlJB97GduUSmlx1rEiu0GJaUOHIaBl82CzWrFZgF7UR4fVsPnL6PQJCIiItXKarXg72PDn8rnoYpy03Wys7P58E43nawS1uo7tYiIiEj9odAkIiIiUgUKTSIiIiJVoNAkIiIiUgUKTSIiIiJVoNAkIiIiUgUKTSIiIiJVoNAkIiIiUgUKTSIiIiJVoNAkIiIiUgUKTSIiIiJVoNAkIiIiUgUKTSIiIiJVoNAkIiIiUgUKTSIiIiJVoNAkIiIiUgUKTSIiIiJVoNAkIiIiUgUKTSIiIiJVoNAkIiIiUgUKTSIiIiJVoNAkIiIiUgUKTSIiIiJVoNAkIiIiUgUKTSIiIiJVoNAkIiIiUgUKTSIiIiJVoNAkIiIiUgUKTSIiIiJVoNAkIiIiUgUKTSIiIiJVoNAkIiIiUgUKTSIiIiJVoNAkIiIiUgUKTSIiIiJVoNAkIiIiUgUKTSIiIiJVoNAkIiIiUgUKTSIiIiJVoNAkIiIiUgUKTSIiIiJVoNAkIiIiUgUKTSIiIiJVUCtC0xtvvEFCQgJ+fn4kJSWxbNmyU+7/2Wef0bZtW/z8/OjYsSP/+9//yr1vGAZPPvkkTZo0wd/fn+TkZLZt21adH0FERETqOY+Hpk8++YRx48bx1FNPsWrVKs477zwGDhxIenp6pfv/9ttvjBgxgrFjx/LHH38wbNgwhg0bxvr16537vPTSS7z22mtMmzaNpUuXEhgYyMCBAyksLKypjyUiIiL1jMUwDMOTBSQlJdG9e3emTp0KgMPhIC4ujnvvvZdHH320wv7Dhw8nLy+Pb7/91rmtZ8+edO7cmWnTpmEYBrGxsfztb3/joYceAiArK4vo6GhmzJjB9ddff9qasrOzCQ0NJSsri5CQEDd9UhEREalO1f3326MtTcXFxaxcuZLk5GTnNqvVSnJyMkuWLKn0mCVLlpTbH2DgwIHO/Xft2kVaWlq5fUJDQ0lKSjrpOUVEREROx8uTFz98+DB2u53o6Ohy26Ojo9m8eXOlx6SlpVW6f1pamvP9sm0n2+fPioqKKCoqcr7OysoCzMQqIiIidUPZ3+3q6kTzaGiqLSZOnMiECRMqbI+Li/NANSIiInI2jhw5QmhoqNvP69HQFBkZic1m4+DBg+W2Hzx4kJiYmEqPiYmJOeX+ZT8PHjxIkyZNyu3TuXPnSs85fvx4xo0b53ydmZlJ8+bNSUlJqZZfulRddnY2cXFx7N27V+PLPEzfRe2i76P20HdRe2RlZREfH0+jRo2q5fweDU0+Pj507dqV+fPnM2zYMMAcCD5//nzuueeeSo/p1asX8+fP54EHHnBumzdvHr169QIgMTGRmJgY5s+f7wxJ2dnZLF26lDvvvLPSc/r6+uLr61the2hoqP4PUEuEhITou6gl9F3ULvo+ag99F7WH1Vo9Q7Y93j03btw4Ro8eTbdu3ejRowdTpkwhLy+PMWPGADBq1CiaNm3KxIkTAbj//vvp27cvr7zyCoMHD2bWrFmsWLGCt99+GwCLxcIDDzzAc889R+vWrUlMTOSJJ54gNjbWGcxEREREXOXx0DR8+HAOHTrEk08+SVpaGp07d2bu3LnOgdwpKSnlEmPv3r2ZOXMmjz/+OI899hitW7dm9uzZdOjQwbnPww8/TF5eHrfddhuZmZlceOGFzJ07Fz8/vxr/fCIiIlI/eHyeptqoqKiIiRMnMn78+Eq77aTm6LuoPfRd1C76PmoPfRe1R3V/FwpNIiIiIlXg8WVUREREROoChSYRERGRKlBoEhEREakChSYRERGRKlBoqsQbb7xBQkICfn5+JCUlsWzZMk+XVK9NnDiR7t27ExwcTFRUFMOGDWPLli3l9iksLOTuu+8mIiKCoKAgrrnmmgozw4v7TZo0yTn3WRl9FzVr37593HjjjURERODv70/Hjh1ZsWKF833DMHjyySdp0qQJ/v7+JCcns23bNg9WXD/Z7XaeeOIJEhMT8ff3p2XLljz77LPl1jjTd1E9fv75Z6688kpiY2OxWCzMnj273PtV+b1nZGQwcuRIQkJCCAsLY+zYseTm5rpci0LTn3zyySeMGzeOp556ilWrVnHeeecxcOBA0tPTPV1avbVo0SLuvvtufv/9d+bNm0dJSQmXXnopeXl5zn0efPBB5syZw2effcaiRYvYv38/V199tQerrv+WL1/OW2+9RadOncpt13dRc44ePcoFF1yAt7c33333HRs3buSVV14hPDzcuc9LL73Ea6+9xrRp01i6dCmBgYEMHDiQwsJCD1Ze/7z44ou8+eabTJ06lU2bNvHiiy/y0ksv8frrrzv30XdRPfLy8jjvvPN44403Kn2/Kr/3kSNHsmHDBubNm8e3337Lzz//zG233eZ6MYaU06NHD+Puu+92vrbb7UZsbKwxceJED1bVsKSnpxuAsWjRIsMwDCMzM9Pw9vY2PvvsM+c+mzZtMgBjyZIlniqzXsvJyTFat25tzJs3z+jbt69x//33G4ah76KmPfLII8aFF1540vcdDocRExNj/OMf/3Buy8zMNHx9fY3//Oc/NVFigzF48GDj5ptvLrft6quvNkaOHGkYhr6LmgIYX331lfN1VX7vGzduNABj+fLlzn2+++47w2KxGPv27XPp+mppOkFxcTErV64kOTnZuc1qtZKcnMySJUs8WFnDkpWVBeBccHHlypWUlJSU+17atm1LfHy8vpdqcvfddzN48OByv3PQd1HTvvnmG7p168Z1111HVFQUXbp0Yfr06c73d+3aRVpaWrnvIzQ0lKSkJH0fbta7d2/mz5/P1q1bAVizZg2//vorl112GaDvwlOq8ntfsmQJYWFhdOvWzblPcnIyVquVpUuXunQ9jy+jUpscPnwYu93uXMKlTHR0NJs3b/ZQVQ2Lw+HggQce4IILLnAujZOWloaPjw9hYWHl9o2OjiYtLc0DVdZvs2bNYtWqVSxfvrzCe/ouatbOnTt58803GTduHI899hjLly/nvvvuw8fHh9GjRzt/55X9N0vfh3s9+uijZGdn07ZtW2w2G3a7neeff56RI0cC6LvwkKr83tPS0oiKiir3vpeXF40aNXL5u1Foklrl7rvvZv369fz666+eLqVB2rt3L/fffz/z5s3TWo21gMPhoFu3brzwwgsAdOnShfXr1zNt2jRGjx7t4eoalk8//ZSPP/6YmTNn0r59e1avXs0DDzxAbGysvosGRN1zJ4iMjMRms1W4E+jgwYPExMR4qKqG45577uHbb79lwYIFNGvWzLk9JiaG4uJiMjMzy+2v78X9Vq5cSXp6Oueffz5eXl54eXmxaNEiXnvtNby8vIiOjtZ3UYOaNGnCueeeW25bu3btSElJAXD+zvXfrOr3f//3fzz66KNcf/31dOzYkb/+9a88+OCDTJw4EdB34SlV+b3HxMRUuJmrtLSUjIwMl78bhaYT+Pj40LVrV+bPn+/c5nA4mD9/Pr169fJgZfWbYRjcc889fPXVV/z0008kJiaWe79r1654e3uX+162bNlCSkqKvhc3GzBgAOvWrWP16tXOR7du3Rg5cqTzub6LmnPBBRdUmH5j69atNG/eHIDExERiYmLKfR/Z2dksXbpU34eb5efnY7WW/5Nps9lwOByAvgtPqcrvvVevXmRmZrJy5UrnPj/99BMOh4OkpCTXLnhWw9jroVmzZhm+vr7GjBkzjI0bNxq33XabERYWZqSlpXm6tHrrzjvvNEJDQ42FCxcaBw4ccD7y8/Od+9xxxx1GfHy88dNPPxkrVqwwevXqZfTq1cuDVTccJ949Zxj6LmrSsmXLDC8vL+P55583tm3bZnz88cdGQECA8dFHHzn3mTRpkhEWFmZ8/fXXxtq1a42hQ4caiYmJRkFBgQcrr39Gjx5tNG3a1Pj222+NXbt2GV9++aURGRlpPPzww8599F1Uj5ycHOOPP/4w/vjjDwMwJk+ebPzxxx/Gnj17DMOo2u990KBBRpcuXYylS5cav/76q9G6dWtjxIgRLtei0FSJ119/3YiPjzd8fHyMHj16GL///runS6rXgEof7733nnOfgoIC46677jLCw8ONgIAA46qrrjIOHDjguaIbkD+HJn0XNWvOnDlGhw4dDF9fX6Nt27bG22+/Xe59h8NhPPHEE0Z0dLTh6+trDBgwwNiyZYuHqq2/srOzjfvvv9+Ij483/Pz8jBYtWhh///vfjaKiIuc++i6qx4IFCyr9GzF69GjDMKr2ez9y5IgxYsQIIygoyAgJCTHGjBlj5OTkuFyLxTBOmM5URERERCqlMU0iIiIiVaDQJCIiIlIFCk0iIiIiVaDQJCIiIlIFCk0iIiIiVaDQJCIiIlIFCk0iIiIiVaDQJCI1buHChVgsFucadjNmzCAsLMyjNVUmISGBKVOmVNv5a+vnFpHKKTSJyClNmzaN4OBgSktLndtyc3Px9vamX79+5fYtC0M7duyo4SqhoKCAwMBAtm/fzowZM7BYLBUefn5+Lp1z+fLl3HbbbdVUsYjUNQpNInJK/fv3Jzc3lxUrVji3/fLLL8TExLB06VIKCwud2xcsWEB8fDwtW7as8TrnzZtH8+bNadWqFQAhISEcOHCg3GPPnj0unbNx48YEBARUR7kiUgcpNInIKbVp04YmTZqwcOFC57aFCxcydOhQEhMT+f3338tt79+/Px9++CHdunUjODiYmJgYbrjhBtLT06t8zUOHDtGtWzeuuuoqioqKOHr0KCNHjqRx48b4+/vTunVr3nvvvXLHfP311wwZMsT52mKxEBMTU+4RHR3tfL9fv37cc8893HPPPYSGhhIZGckTTzzBiStLndg9ZxgGTz/9NPHx8fj6+hIbG8t9993n3Pfo0aOMGjWK8PBwAgICuOyyy9i2bVu5GmfMmEF8fDwBAQFcddVVHDlypMJn//rrrzn//PPx8/OjRYsWTJgwwdnKd7oaRKR6KTSJyGn179+fBQsWOF8vWLCAfv360bdvX+f2goICli5dSv/+/SkpKeHZZ59lzZo1zJ49m927d3PTTTdV6Vp79+6lT58+dOjQgc8//xxfX1+eeOIJNm7cyHfffcemTZt48803iYyMdB7jcDj49ttvGTp0qEuf6/3338fLy4tly5bx6quvMnnyZN55551K9/3iiy/45z//yVtvvcW2bduYPXs2HTt2dL5/0003sWLFCr755huWLFmCYRhcfvnllJSUALB06VLGjh3LPffcw+rVq+nfvz/PPfdcuWv88ssvjBo1ivvvv5+NGzfy1ltvMWPGDJ5//vkq1SAi1ezs1h4WkYZg+vTpRmBgoFFSUmJkZ2cbXl5eRnp6ujFz5kzjoosuMgzDMObPn28Axp49eyocv3z5cgNwripetmr50aNHDcMwjPfee88IDQ01Nm/ebMTFxRn33Xef4XA4nMdfeeWVxpgxY05a3+LFi42oqCjDbrc7zwcYgYGB5R6DBg1yHtO3b1+jXbt25a7zyCOPGO3atXO+bt68ufHPf/7TMAzDeOWVV4xzzjnHKC4urnD9rVu3GoCxePFi57bDhw8b/v7+xqeffmoYhmGMGDHCuPzyy8sdN3z4cCM0NNT5esCAAcYLL7xQbp8PP/zQaNKkyWlrEJHqp5YmETmtfv36kZeXx/Lly/nll18455xzaNy4MX379nWOa1q4cCEtWrQgPj6elStXcuWVVxIfH09wcDB9+/YFICUl5aTXKCgooE+fPlx99dW8+uqrWCwW53t33nkns2bNonPnzjz88MP89ttv5Y79+uuvueKKK7Baj/8nLTg4mNWrV5d7/LkVqWfPnuWu06tXL7Zt24bdbq9Q33XXXUdBQQEtWrTg1ltv5auvvnJ2m23atAkvLy+SkpKc+0dERNCmTRs2bdrk3OfE98uud6I1a9bwzDPPEBQU5HzceuutHDhwgPz8/FPWICLVT6FJRE6rVatWNGvWjAULFrBgwQJnCIqNjSUuLo7ffvuNBQsWcPHFF5OXl8fAgQMJCQnh448/Zvny5Xz11VcAFBcXn/Qavr6+JCcn8+2337Jv375y71122WXs2bOHBx98kP379zNgwAAeeugh5/vffPNNufFMAFarlVatWpV7NG3a9Ix/B3FxcWzZsoV//etf+Pv7c9ddd3HRRRc5u9/cITc3lwkTJpQLeuvWrWPbtm34+fnVSA0icnIKTSJSJf3792fhwoUsXLiw3FQDF110Ed999x3Lli2jf//+bN68mSNHjjBp0iT69OlD27ZtqzQI3Gq18uGHH9K1a1f69+/P/v37y73fuHFjRo8ezUcffcSUKVN4++23Adi2bRt79uzhkksucfkzLV26tNzr33//ndatW2Oz2Srd39/fnyuvvJLXXnuNhQsXsmTJEtatW0e7du0oLS0td74jR46wZcsWzj33XADatWtX6fVOdP7557Nly5YKYa9Vq1bOVrST1SAi1c/L0wWISN3Qv39/7r77bkpKSpwtTQB9+/blnnvuobi4mP79++Pl5YWPjw+vv/46d9xxB+vXr+fZZ5+t0jVsNhsff/wxI0aM4OKLL2bhwoXExMTw5JNP0rVrV9q3b09RURHffvst7dq1A8yuueTk5ApTAxiGQVpaWoVrREVFOQNISkoK48aN4/bbb2fVqlW8/vrrvPLKK5XWNmPGDOx2O0lJSQQEBPDRRx/h7+9P8+bNiYiIYOjQodx666289dZbBAcH8+ijj9K0aVPn4PT77ruPCy64gJdffpmhQ4fy/fffM3fu3HLXePLJJ7niiiuIj4/n2muvxWq1smbNGtavX89zzz13yhpEpAZ4elCViNQNu3btMgCjbdu25bbv3r3bAIw2bdo4t82cOdNISEgwfH19jV69ehnffPONARh//PGHYRgnHwhepqSkxLj66quNdu3aGQcPHjSeffZZo127doa/v7/RqFEjY+jQocbOnTsNwzCMCy+80Jg+fXq5msoGglf2OHDggGEY5kDwu+66y7jjjjuMkJAQIzw83HjsscfKDQw/cSD4V199ZSQlJRkhISFGYGCg0bNnT+PHH3907puRkWH89a9/NUJDQw1/f39j4MCBxtatW8vV9e9//9to1qyZ4e/vb1x55ZXGyy+/XO5zG4ZhzJ071+jdu7fh7+9vhISEGD169DDefvvtKtUgItXLYhgnTEoiIlKHHD58mCZNmpCamlpuDqaq6NevH507d67WZVJEpH7RmCYRqbMyMjKYPHmyy4FJRORMaEyTiNRZ55xzDuecc46nyxCRBkLdcyIiIiJVoO45ERERkSpQaBIRERGpAoUmERERkSpQaBIRERGpAoUmERERkSpQaBIRERGpAoUmERERkSpQaBIRERGpAoUmERERkSr4f1fbnBVn3Nt2AAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "def figure_6_2():\n",
    "    episodes = 100 + 1\n",
    "    td_errors = batch_updating('TD', episodes)\n",
    "    mc_errors = batch_updating('MC', episodes)\n",
    "\n",
    "    plt.plot(td_errors, label='TD')\n",
    "    plt.plot(mc_errors, label='MC')\n",
    "    plt.title(\"Batch Training\")\n",
    "    plt.xlabel('Walks/Episodes')\n",
    "    plt.ylabel('RMS error, averaged over states')\n",
    "    plt.xlim(0, 100)\n",
    "    plt.ylim(0, 0.25)\n",
    "    plt.legend()\n",
    "\n",
    "figure_6_2()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "rl",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.20"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
